Question

8.Rezolvati in R ecuatiile:
a) x supra 2-x supra 3=5
b)1-y+1 supra3=1 supra5
d)7+4z supra5-3-2z supra 2=3 supra10(2z-5)
9.Rezolvati in R ecuatiile:
a) 1 supra2(x-1 supra3)-1 supra 3(x-1 supra2)=x+1 supra6
11.Rezolvatii in R ecuatiile:
a)(x-1)(x+1)-x²=x-1
b)(y+1)(y+2)+2y+1=y²+4y
d)z²-z-z(z+2)=3z-4
13.a)√2(x+2√2)+√3(1-x√2)=1+2√3
16.a) Ix+1I=3

Answer 1

a) x/2-x/3=5
3x-2x=30
x=30
b)1-(y+1)/3=1/5
15-5y-5=3
5y=7
y=7/5
nu mi-am dat seama cum e de fapt si ti-am facut si cazul in care y nu este in fractie adunat cu 1 supra 3
1-y+1/3=1/5
15-15y+5=3
15y=17
y=17/15

d)7+4z/5-3-2z/2=3/10(2z-5)
7+4z/5-3-z=3z/5-3/2
70+8z-30-10z=6x-15
8z=40+15
8z=55
z=55/8

9.Rezolvati in R ecuatiile:
a) 1/2(x-1/3)-1/3(x-1/2)=x+1/6
x/2-1/6-x/3+1/6=x+1/6
x/2-x/3=x+1/6
3x-2x=6x+1
5x=-1
x=-1/5

11.Rezolvatii in R ecuatiile:
a)(x-1)(x+1)-x²=x-1
x²-1-x²=x-1
-1=x-1
x=0

b)(y+1)(y+2)+2y+1=y²+4y
y²+y+2y+2+2y+1=y²+4y
y+2+1=0
y=-3

d)z²-z-z(z+2)=3z-4
z²-z-z²-2z=3z-4
-z-2z=3z-4
6z=4
z=2/3

13.a)√2(x+2√2)+√3(1-x√2)=1+2√3
x√2+4+√3-x√6=1+2√3
x(√2-√6)=1+2√3-4-√3
x(√2-√6)=√3-3
x√2(1-√3)=√3(1-√-3)
x=√2/√3    
x=√6/3 
16.a) Ix+1I=3
x+2=3
x=1

-x-1=3
x=-4